Average Error: 0.0 → 0.0
Time: 3.9s
Precision: 64
\[\frac{x \cdot y}{2} - \frac{z}{8}\]
↓
\[\frac{x \cdot y}{2} - \frac{z}{8}\]
\frac{x \cdot y}{2} - \frac{z}{8}
↓
\frac{x \cdot y}{2} - \frac{z}{8}
double f(double x, double y, double z) {
        double r148130 = x;
        double r148131 = y;
        double r148132 = r148130 * r148131;
        double r148133 = 2.0;
        double r148134 = r148132 / r148133;
        double r148135 = z;
        double r148136 = 8.0;
        double r148137 = r148135 / r148136;
        double r148138 = r148134 - r148137;
        return r148138;
}
↓
double f(double x, double y, double z) {
        double r148139 = x;
        double r148140 = y;
        double r148141 = r148139 * r148140;
        double r148142 = 2.0;
        double r148143 = r148141 / r148142;
        double r148144 = z;
        double r148145 = 8.0;
        double r148146 = r148144 / r148145;
        double r148147 = r148143 - r148146;
        return r148147;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\frac{x \cdot y}{2} - \frac{z}{8}\]

  2. Final simplification0.0

    \[\leadsto \frac{x \cdot y}{2} - \frac{z}{8}\]

Reproduce

herbie shell --seed 2019347 +o rules:numerics
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  :precision binary64
  (- (/ (* x y) 2) (/ z 8)))